Search a number
-
+
100228878216 = 2332107109311903
BaseRepresentation
bin101110101011000011…
…0110100111110001000
3100120201010022120010200
41131112012310332020
53120232043100331
6114013340412200
710145523256635
oct1352606647610
9316633276120
10100228878216
1139563652755
1217512547060
1395b406823c
144bcb5dd18c
15291939a5e6
hex17561b4f88

100228878216 has 96 divisors (see below), whose sum is σ = 274263874560. Its totient is φ = 33064327296.

The previous prime is 100228878179. The next prime is 100228878227. The reversal of 100228878216 is 612878822001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8414521 + ... + 8426423.

It is an arithmetic number, because the mean of its divisors is an integer number (2856915360).

Almost surely, 2100228878216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100228878216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137131937280).

100228878216 is an abundant number, since it is smaller than the sum of its proper divisors (174034996344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100228878216 is a wasteful number, since it uses less digits than its factorization.

100228878216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 100228878216 in words is "one hundred billion, two hundred twenty-eight million, eight hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1093 1284 1926 2186 2568 3279 3852 4372 6558 7704 8744 9837 11903 13116 19674 23806 26232 35709 39348 47612 71418 78696 95224 107127 116951 142836 214254 233902 285672 350853 428508 467804 701706 857016 935608 1052559 1273621 1403412 2105118 2547242 2806824 3820863 4210236 5094484 7641726 8420472 10188968 11462589 13009979 15283452 22925178 26019958 30566904 39029937 45850356 52039916 78059874 91700712 104079832 117089811 156119748 234179622 312239496 468359244 936718488 1392067753 2784135506 4176203259 5568271012 8352406518 11136542024 12528609777 16704813036 25057219554 33409626072 50114439108 100228878216